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Finding the Fourth Proportional to 285,383.09, 428,078.82 and 135,638.66

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Solution

The fourth proportional to 285,383.09, 428,078.82 and 135,638.66 is: 203,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,383.09 : 428,078.82 = 135,638.66 : x
  2. Step 2: Convert to fraction form
    285,383.09/428,078.82 = 135,638.66/x
  3. Step 3: Cross multiply
    285,383.09x = 428,078.82 × 135,638.66
  4. Step 4: Simplify right side
    285,383.09x = 58,064,037,519.18
  5. Step 5: Solve for x
    x = 58,064,037,519.18/285,383.09
  6. Step 6: Final answer
    x = 203,459.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.